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math.AT2022★ 1 cited
Parametrised Presentability over Orbital Categories
Kaif Hilman
In this paper, we develop the notion of presentability in the parametrised homotopy theory framework of Barwick-Dotto-Glasman-Nardin-Shah over orbital categories. We formulate and…
math.KT2022
Parametrised noncommutative motives and equivariant cubical descent in algebraic K-theory
Kaif Hilman
For an atomic orbital base category in the sense of Barwick-Dotto-Glasman-Nardin-Shah, we introduce the category of parametrised perfect-stable categories and use it to construct t…